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3490769520 = 243457411877
BaseRepresentation
bin1101000000010000…
…1110101001110000
3100000021111110120000
43100010032221300
524122114111040
61334215150000
7152335023420
oct32004165160
910007443500
103490769520
1115314a2897
12815075300
134382870c4
14251878480
151566d7130
hexd010ea70

3490769520 has 400 divisors, whose sum is σ = 14201466048. Its totient is φ = 778014720.

The previous prime is 3490769519. The next prime is 3490769549. The reversal of 3490769520 is 259670943.

It is a happy number.

3490769520 is a `hidden beast` number, since 3 + 490 + 76 + 95 + 2 + 0 = 666.

It is a super-2 number, since 2×34907695202 = 24370943683522060800, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 1858822 + ... + 1860698.

Almost surely, 23490769520 is an apocalyptic number.

3490769520 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 3490769520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100733024).

3490769520 is an abundant number, since it is smaller than the sum of its proper divisors (10710696528).

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

3490769520 is a wasteful number, since it uses less digits than its factorization.

3490769520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3490769520 is about 59082.7345338721. The cubic root of 3490769520 is about 1516.9585883093.

The spelling of 3490769520 in words is "three billion, four hundred ninety million, seven hundred sixty-nine thousand, five hundred twenty".