3578940624 has 160 divisors (see below), whose sum is σ = 11249280000. Its totient is φ = 957699072.

The previous prime is 3578940613. The next prime is 3578940641. The reversal of 3578940624 is 4260498753.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565027 + ... + 571325.

It is an arithmetic number, because the mean of its divisors is an integer number (70308000).

Almost surely, 2^3578940624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3578940624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

3578940624 is an abundant number, since it is smaller than the sum of its proper divisors (7670339376).

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

3578940624 is a wasteful number, since it uses less digits than its factorization.

3578940624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3578940624 is about 59824.2477930145. The cubic root of 3578940624 is about 1529.6245001014.

The spelling of 3578940624 in words is "three billion, five hundred seventy-eight million, nine hundred forty thousand, six hundred twenty-four".