3461906015820 has 216 divisors, whose sum is σ = 12858508681200. Its totient is φ = 749645777664.

The previous prime is 3461906015807. The next prime is 3461906015861. The reversal of 3461906015820 is 285106091643.

3461906015820 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 9 + 0 + 60 + 1 + 582 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10161535 + ... + 10496694.

Almost surely, 2^{3461906015820} is an apocalyptic number.

3461906015820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3461906015820 is an abundant number, since it is smaller than the sum of its proper divisors (9396602665380).

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

3461906015820 is a wasteful number, since it uses less digits than its factorization.

3461906015820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20658277 (or 20658265 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3461906015820 in words is "three trillion, four hundred sixty-one billion, nine hundred six million, fifteen thousand, eight hundred twenty".