3540120210072 has 64 divisors (see below), whose sum is σ = 9841214976000. Its totient is φ = 1179134343072.

The previous prime is 3540120210041. The next prime is 3540120210101. The reversal of 3540120210072 is 2700120210453.

3540120210072 is a `hidden beast` number, since 3 + 540 + 12 + 0 + 2 + 100 + 7 + 2 = 666.

It is a super-2 number, since 2×3540120210072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007672 + ... + 6570567.

It is an arithmetic number, because the mean of its divisors is an integer number (153768984000).

Almost surely, 2^{3540120210072} is an apocalyptic number.

It is an amenable number.

3540120210072 is an abundant number, since it is smaller than the sum of its proper divisors (6301094765928).

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

3540120210072 is a wasteful number, since it uses less digits than its factorization.

3540120210072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579557 (or 12579547 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 3540120210072 in words is "three trillion, five hundred forty billion, one hundred twenty million, two hundred ten thousand, seventy-two".