3541234936320 has 120 divisors (see below), whose sum is σ = 12264292636596. Its totient is φ = 944329310208.

The previous prime is 3541234936307. The next prime is 3541234936409. The reversal of 3541234936320 is 236394321453.

It is a happy number.

3541234936320 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 2 + 3 + 4 + 9 + 3 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3538431869184 + 2803067136 = 1881072^2 + 52944^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 76826677 + ... + 76872756.

Almost surely, 2^{3541234936320} is an apocalyptic number.

3541234936320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3541234936320 is an abundant number, since it is smaller than the sum of its proper divisors (8723057700276).

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

3541234936320 is a wasteful number, since it uses less digits than its factorization.

3541234936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153699462 (or 153699443 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3541234936320 in words is "three trillion, five hundred forty-one billion, two hundred thirty-four million, nine hundred thirty-six thousand, three hundred twenty".