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3706421472 = 2532132271281
BaseRepresentation
bin1101110011101011…
…1000000011100000
3100120022021201102100
43130322320003200
530042320441342
61411441250400
7160564030335
oct33472700340
910508251370
103706421472
1116321a6346
12875333a00
13470b61700
1427237298c
1516a5d3e4c
hexdceb80e0

3706421472 has 216 divisors, whose sum is σ = 11496165408. Its totient is φ = 1132185600.

The previous prime is 3706421437. The next prime is 3706421483. The reversal of 3706421472 is 2741246073.

3706421472 is a `hidden beast` number, since 3 + 7 + 0 + 642 + 1 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13189972 + ... + 13190252.

It is an arithmetic number, because the mean of its divisors is an integer number (53222988).

Almost surely, 23706421472 is an apocalyptic number.

3706421472 is a gapful number since it is divisible by the number (32) 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 3706421472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748082704).

3706421472 is an abundant number, since it is smaller than the sum of its proper divisors (7789743936).

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

3706421472 is a wasteful number, since it uses less digits than its factorization.

3706421472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3706421472 is about 60880.3865953560. The cubic root of 3706421472 is about 1547.5746282311.

The spelling of 3706421472 in words is "three billion, seven hundred six million, four hundred twenty-one thousand, four hundred seventy-two".