3546374330400 has 288 divisors, whose sum is σ = 12597563579328. Its totient is φ = 859405516800.

The previous prime is 3546374330383. The next prime is 3546374330407. The reversal of 3546374330400 is 40334736453.

It is not an unprimeable number, because it can be changed into a prime (3546374330407) 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, 74767492 + ... + 74814908.

It is an arithmetic number, because the mean of its divisors is an integer number (43741540206).

Almost surely, 2^{3546374330400} is an apocalyptic number.

3546374330400 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 3546374330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298781789664).

3546374330400 is an abundant number, since it is smaller than the sum of its proper divisors (9051189248928).

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

3546374330400 is a wasteful number, since it uses less digits than its factorization.

3546374330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50284 (or 50271 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 42.

The spelling of 3546374330400 in words is "three trillion, five hundred forty-six billion, three hundred seventy-four million, three hundred thirty thousand, four hundred".