3445172640 has 576 divisors, whose sum is σ = 14741056512. Its totient is φ = 713318400.

The previous prime is 3445172639. The next prime is 3445172651. The reversal of 3445172640 is 462715443.

3445172640 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 1 + 7 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3445172595 and 3445172604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7993225 + ... + 7993655.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 2^3445172640 is an apocalyptic number.

3445172640 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 3445172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256).

3445172640 is an abundant number, since it is smaller than the sum of its proper divisors (11295883872).

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

3445172640 is a wasteful number, since it uses less digits than its factorization.

3445172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3445172640 is about 58695.5930202600. The cubic root of 3445172640 is about 1510.3247170909.

The spelling of 3445172640 in words is "three billion, four hundred forty-five million, one hundred seventy-two thousand, six hundred forty".