374206070400 has 384 divisors, whose sum is σ = 1281702787200. Its totient is φ = 95844188160.

The previous prime is 374206070353. The next prime is 374206070419. The reversal of 374206070400 is 4070602473.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54841389 + ... + 54848211.

It is an arithmetic number, because the mean of its divisors is an integer number (3337767675).

Almost surely, 2^374206070400 is an apocalyptic number.

374206070400 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 374206070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640851393600).

374206070400 is an abundant number, since it is smaller than the sum of its proper divisors (907496716800).

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

374206070400 is a wasteful number, since it uses less digits than its factorization.

374206070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

Adding to 374206070400 its reverse (4070602473), we get a palindrome (378276672873).

The spelling of 374206070400 in words is "three hundred seventy-four billion, two hundred six million, seventy thousand, four hundred".