3500472672 has 240 divisors, whose sum is σ = 10906866432. Its totient is φ = 1099042560.

The previous prime is 3500472607. The next prime is 3500472683. The reversal of 3500472672 is 2762740053.

It is a happy number.

3500472672 is a `hidden beast` number, since 350 + 0 + 47 + 267 + 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 39 ways as a sum of consecutive naturals, for example, 4232323 + ... + 4233149.

Almost surely, 2^3500472672 is an apocalyptic number.

3500472672 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 3500472672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453433216).

3500472672 is an abundant number, since it is smaller than the sum of its proper divisors (7406393760).

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

3500472672 is a wasteful number, since it uses less digits than its factorization.

3500472672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3500472672 is about 59164.7925036503. The cubic root of 3500472672 is about 1518.3628309843.

The spelling of 3500472672 in words is "three billion, five hundred million, four hundred seventy-two thousand, six hundred seventy-two".