3007400427232 has 96 divisors (see below), whose sum is σ = 6173327714400. Its totient is φ = 1440402259968.

The previous prime is 3007400427191. The next prime is 3007400427233. The reversal of 3007400427232 is 2327240047003.

3007400427232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3007400427232³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007400427233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251596168 + ... + 251608120.

It is an arithmetic number, because the mean of its divisors is an integer number (64305497025).

Almost surely, 2^{3007400427232} is an apocalyptic number.

3007400427232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007400427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086663857200).

3007400427232 is an abundant number, since it is smaller than the sum of its proper divisors (3165927287168).

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

3007400427232 is a wasteful number, since it uses less digits than its factorization.

3007400427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 34.

The spelling of 3007400427232 in words is "three trillion, seven billion, four hundred million, four hundred twenty-seven thousand, two hundred thirty-two".