3579738624 has 800 divisors, whose sum is σ = 14259801600. Its totient is φ = 865935360.

The previous prime is 3579738593. The next prime is 3579738649. The reversal of 3579738624 is 4268379753.

3579738624 is a `hidden beast` number, since 3 + 5 + 7 + 9 + 7 + 3 + 8 + 624 = 666.

It is a super-4 number, since 4×3579738624⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7620480) is a multiple of the sum of its prime factors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60673507 + ... + 60673565.

It is an arithmetic number, because the mean of its divisors is an integer number (17824752).

Almost surely, 2^3579738624 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 3579738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129900800).

3579738624 is an abundant number, since it is smaller than the sum of its proper divisors (10680062976).

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

3579738624 is a wasteful number, since it uses less digits than its factorization.

3579738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3579738624 is about 59830.9169577067. The cubic root of 3579738624 is about 1529.7381789586.

The spelling of 3579738624 in words is "three billion, five hundred seventy-nine million, seven hundred thirty-eight thousand, six hundred twenty-four".