3472010640 has 480 divisors, whose sum is σ = 14415148800. Its totient is φ = 746016768.

The previous prime is 3472010639. The next prime is 3472010653. The reversal of 3472010640 is 460102743.

3472010640 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 0 + 10 + 640 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4197907 + ... + 4198733.

It is an arithmetic number, because the mean of its divisors is an integer number (30031560).

Almost surely, 2^3472010640 is an apocalyptic number.

3472010640 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 3472010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207574400).

3472010640 is an abundant number, since it is smaller than the sum of its proper divisors (10943138160).

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

3472010640 is a wasteful number, since it uses less digits than its factorization.

3472010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3472010640 is about 58923.7697368388. The cubic root of 3472010640 is about 1514.2364024356.

The spelling of 3472010640 in words is "three billion, four hundred seventy-two million, ten thousand, six hundred forty".