374013000 has 192 divisors, whose sum is σ = 1308668400. Its totient is φ = 96230400.

The previous prime is 374012987. The next prime is 374013007. The reversal of 374013000 is 310473.

374013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49364676 + 324648324 = 7026^2 + 18018^2 .

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

It is not an unprimeable number, because it can be changed into a prime (374013007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260284 + ... + 261716.

Almost surely, 2^374013000 is an apocalyptic number.

374013000 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 374013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654334200).

374013000 is an abundant number, since it is smaller than the sum of its proper divisors (934655400).

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

374013000 is a wasteful number, since it uses less digits than its factorization.

374013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1472 counting only the distinct ones).

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

The square root of 374013000 is about 19339.4157098915. The cubic root of 374013000 is about 720.4915624695.

Adding to 374013000 its reverse (310473), we get a palindrome (374323473).

It can be divided in two parts, 37401 and 3000, that added together give a square (40401 = 201²).

The spelling of 374013000 in words is "three hundred seventy-four million, thirteen thousand".