3006261512400 has 60 divisors (see below), whose sum is σ = 9630057715232. Its totient is φ = 801669736320.

The previous prime is 3006261512383. The next prime is 3006261512461. The reversal of 3006261512400 is 42151626003.

3006261512400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1252607764 + ... + 1252610163.

Almost surely, 2^{3006261512400} is an apocalyptic number.

3006261512400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006261512400 is an abundant number, since it is smaller than the sum of its proper divisors (6623796202832).

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

3006261512400 is a wasteful number, since it uses less digits than its factorization.

3006261512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505217948 (or 2505217937 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 3006261512400 in words is "three trillion, six billion, two hundred sixty-one million, five hundred twelve thousand, four hundred".