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3760372980 = 223257131731327
BaseRepresentation
bin1110000000100010…
…1011110011110100
3100201001210201222100
43200020223303310
530200123413410
61421045502100
7162120433350
oct34010536364
910631721870
103760372980
11165a6a5971
1288b411930
1347c0a1590
142795b8460
151701de8c0
hexe022bcf4

3760372980 has 288 divisors, whose sum is σ = 14130514944. Its totient is φ = 788216832.

The previous prime is 3760372963. The next prime is 3760372991. The reversal of 3760372980 is 892730673.

It is a happy number.

3760372980 is a `hidden beast` number, since 37 + 603 + 7 + 2 + 9 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2833077 + ... + 2834403.

It is an arithmetic number, because the mean of its divisors is an integer number (49064288).

Almost surely, 23760372980 is an apocalyptic number.

3760372980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3760372980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065257472).

3760372980 is an abundant number, since it is smaller than the sum of its proper divisors (10370141964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3760372980 is a wasteful number, since it uses less digits than its factorization.

3760372980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3760372980 is about 61321.8801081637. The cubic root of 3760372980 is about 1555.0474346493.

The spelling of 3760372980 in words is "three billion, seven hundred sixty million, three hundred seventy-two thousand, nine hundred eighty".