3412625580 has 360 divisors, whose sum is σ = 13415382288. Its totient is φ = 719808768.

The previous prime is 3412625563. The next prime is 3412625581. The reversal of 3412625580 is 855262143.

3412625580 is a `hidden beast` number, since 3 + 4 + 12 + 62 + 5 + 580 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3412625581) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1030287 + ... + 1033593.

Almost surely, 2^3412625580 is an apocalyptic number.

3412625580 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 3412625580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707691144).

3412625580 is an abundant number, since it is smaller than the sum of its proper divisors (10002756708).

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

3412625580 is a wasteful number, since it uses less digits than its factorization.

3412625580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3412625580 is about 58417.6820834240. The cubic root of 3412625580 is about 1505.5535731745.

The spelling of 3412625580 in words is "three billion, four hundred twelve million, six hundred twenty-five thousand, five hundred eighty".