374220100800 has 1008 divisors, whose sum is σ = 1643671673280. Its totient is φ = 78635335680.

The previous prime is 374220100769. The next prime is 374220100817. The reversal of 374220100800 is 8001022473.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 462570796 + ... + 462571604.

It is an arithmetic number, because the mean of its divisors is an integer number (1630626660).

Almost surely, 2^374220100800 is an apocalyptic number.

374220100800 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 374220100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821835836640).

374220100800 is an abundant number, since it is smaller than the sum of its proper divisors (1269451572480).

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

374220100800 is a wasteful number, since it uses less digits than its factorization.

374220100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 374220100800 in words is "three hundred seventy-four billion, two hundred twenty million, one hundred thousand, eight hundred".