3520625209920 has 2688 divisors, whose sum is σ = 16402434048000. Its totient is φ = 686501609472.

The previous prime is 3520625209859. The next prime is 3520625209957. The reversal of 3520625209920 is 299025260253.

3520625209920 is a `hidden beast` number, since 35 + 2 + 0 + 6 + 2 + 520 + 9 + 92 + 0 = 666.

3520625209920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 11467834407 + ... + 11467834713.

It is an arithmetic number, because the mean of its divisors is an integer number (6102096000).

Almost surely, 2^{3520625209920} is an apocalyptic number.

3520625209920 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 3520625209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201217024000).

3520625209920 is an abundant number, since it is smaller than the sum of its proper divisors (12881808838080).

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

3520625209920 is a wasteful number, since it uses less digits than its factorization.

3520625209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3520625209920 in words is "three trillion, five hundred twenty billion, six hundred twenty-five million, two hundred nine thousand, nine hundred twenty".