3001461372 has 192 divisors, whose sum is σ = 9908505600. Its totient is φ = 764225280.

The previous prime is 3001461301. The next prime is 3001461373. The reversal of 3001461372 is 2731641003.

3001461372 is a `hidden beast` number, since 30 + 0 + 14 + 613 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001461373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279747 + ... + 290277.

It is an arithmetic number, because the mean of its divisors is an integer number (51606800).

Almost surely, 2^3001461372 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 3001461372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954252800).

3001461372 is an abundant number, since it is smaller than the sum of its proper divisors (6907044228).

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

3001461372 is a wasteful number, since it uses less digits than its factorization.

3001461372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3001461372 is about 54785.5945664551. The cubic root of 3001461372 is about 1442.4837170852.

The spelling of 3001461372 in words is "three billion, one million, four hundred sixty-one thousand, three hundred seventy-two".