3704830272 has 672 divisors, whose sum is σ = 13620902400. Its totient is φ = 979292160.

The previous prime is 3704830267. The next prime is 3704830277. The reversal of 3704830272 is 2720384073.

It is an interprime number because it is at equal distance from previous prime (3704830267) and next prime (3704830277).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3704830277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78826153 + ... + 78826199.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 2^3704830272 is an apocalyptic number.

3704830272 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 3704830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810451200).

3704830272 is an abundant number, since it is smaller than the sum of its proper divisors (9916072128).

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

3704830272 is a wasteful number, since it uses less digits than its factorization.

3704830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

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

The square root of 3704830272 is about 60867.3169443175. The cubic root of 3704830272 is about 1547.3531339729.

The spelling of 3704830272 in words is "three billion, seven hundred four million, eight hundred thirty thousand, two hundred seventy-two".