373842000 has 640 divisors, whose sum is σ = 1634181120. Its totient is φ = 79833600.

The previous prime is 373841971. The next prime is 373842013. The reversal of 373842000 is 248373.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8693979 + ... + 8694021.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 2^373842000 is an apocalyptic number.

373842000 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 373842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817090560).

373842000 is an abundant number, since it is smaller than the sum of its proper divisors (1260339120).

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

373842000 is a wasteful number, since it uses less digits than its factorization.

373842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 373842000 is about 19334.9941815352. The cubic root of 373842000 is about 720.3817420101.

The spelling of 373842000 in words is "three hundred seventy-three million, eight hundred forty-two thousand".