3301461478728 has 120 divisors (see below), whose sum is σ = 10756887772950. Its totient is φ = 943274699136.

The previous prime is 3301461478723. The next prime is 3301461478739. The reversal of 3301461478728 is 8278741641033.

3301461478728 is a `hidden beast` number, since 3 + 3 + 0 + 14 + 614 + 7 + 8 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3092610650724 + 208850828004 = 1758582^2 + 457002^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3301461478723) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 51956493 + ... + 52019996.

Almost surely, 2^{3301461478728} is an apocalyptic number.

It is an amenable number.

3301461478728 is an abundant number, since it is smaller than the sum of its proper divisors (7455426294222).

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

3301461478728 is a wasteful number, since it uses less digits than its factorization.

3301461478728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103976521 (or 103976501 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3301461478728 in words is "three trillion, three hundred one billion, four hundred sixty-one million, four hundred seventy-eight thousand, seven hundred twenty-eight".