31374000 has 320 divisors, whose sum is σ = 129991680. Its totient is φ = 7084800.

The previous prime is 31373989. The next prime is 31374011. The reversal of 31374000 is 47313.

It is an interprime number because it is at equal distance from previous prime (31373989) and next prime (31374011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377959 + ... + 378041.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^31374000 is an apocalyptic number.

31374000 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 31374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

31374000 is an abundant number, since it is smaller than the sum of its proper divisors (98617680).

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

31374000 is a wasteful number, since it uses less digits than its factorization.

31374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 31374000 is about 5601.2498605222. The cubic root of 31374000 is about 315.3963265378.

The spelling of 31374000 in words is "thirty-one million, three hundred seventy-four thousand".