3351572640 has 576 divisors, whose sum is σ = 13484016000. Its totient is φ = 779341824.

The previous prime is 3351572639. The next prime is 3351572641. The reversal of 3351572640 is 462751533.

3351572640 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 5 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3351572639) and next prime (3351572641).

It is a super-2 number, since 2×3351572640² = 22466078322393139200, which contains 22 as substring.

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 = 3351572595 and 3351572604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3351572641) 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, 9603186 + ... + 9603534.

It is an arithmetic number, because the mean of its divisors is an integer number (23409750).

Almost surely, 2^3351572640 is an apocalyptic number.

3351572640 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 3351572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742008000).

3351572640 is an abundant number, since it is smaller than the sum of its proper divisors (10132443360).

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

3351572640 is a wasteful number, since it uses less digits than its factorization.

3351572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3351572640 is about 57892.7684603181. The cubic root of 3351572640 is about 1496.5212182889.

The spelling of 3351572640 in words is "three billion, three hundred fifty-one million, five hundred seventy-two thousand, six hundred forty".