3538069920 has 576 divisors, whose sum is σ = 15946834176. Its totient is φ = 691568640.

The previous prime is 3538069853. The next prime is 3538069943. The reversal of 3538069920 is 299608353.

3538069920 is a `hidden beast` number, since 3 + 538 + 0 + 6 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1884022 + ... + 1885898.

It is an arithmetic number, because the mean of its divisors is an integer number (27685476).

Almost surely, 2^3538069920 is an apocalyptic number.

3538069920 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 3538069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973417088).

3538069920 is an abundant number, since it is smaller than the sum of its proper divisors (12408764256).

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

3538069920 is a wasteful number, since it uses less digits than its factorization.

3538069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3538069920 is about 59481.6771787750. The cubic root of 3538069920 is about 1523.7795370017.

The spelling of 3538069920 in words is "three billion, five hundred thirty-eight million, sixty-nine thousand, nine hundred twenty".