3409150306464 has 576 divisors, whose sum is σ = 12098297562624. Its totient is φ = 889384624128.

The previous prime is 3409150306459. The next prime is 3409150306483. The reversal of 3409150306464 is 4646030519043.

3409150306464 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 150 + 30 + 6 + 464 = 666.

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, 90908902 + ... + 90946394.

It is an arithmetic number, because the mean of its divisors is an integer number (21003988824).

Almost surely, 2^{3409150306464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409150306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049148781312).

3409150306464 is an abundant number, since it is smaller than the sum of its proper divisors (8689147256160).

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

3409150306464 is a wasteful number, since it uses less digits than its factorization.

3409150306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37629 (or 37618 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3409150306464 in words is "three trillion, four hundred nine billion, one hundred fifty million, three hundred six thousand, four hundred sixty-four".