3101472000 has 648 divisors, whose sum is σ = 12404606760. Its totient is φ = 743424000.

The previous prime is 3101471927. The next prime is 3101472067. The reversal of 3101472000 is 2741013.

It can be written as a sum of positive squares in 4 ways, for example, as 424030464 + 2677441536 = 20592^2 + 51744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34847956 + ... + 34848044.

Almost surely, 2^3101472000 is an apocalyptic number.

3101472000 is a gapful number since it is divisible by the number (30) 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 3101472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202303380).

3101472000 is an abundant number, since it is smaller than the sum of its proper divisors (9303134760).

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

3101472000 is a wasteful number, since it uses less digits than its factorization.

3101472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3101472000 is about 55690.8610096845. The cubic root of 3101472000 is about 1458.3304867065.

The spelling of 3101472000 in words is "three billion, one hundred one million, four hundred seventy-two thousand".