354788966400 has 864 divisors, whose sum is σ = 1362120193728. Its totient is φ = 80530636800.

The previous prime is 354788966387. The next prime is 354788966419. The reversal of 354788966400 is 4669887453.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1838284704 + ... + 1838284896.

It is an arithmetic number, because the mean of its divisors is an integer number (1576528002).

Almost surely, 2^354788966400 is an apocalyptic number.

354788966400 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 354788966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681060096864).

354788966400 is an abundant number, since it is smaller than the sum of its proper divisors (1007331227328).

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

354788966400 is a wasteful number, since it uses less digits than its factorization.

354788966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 354788966400 in words is "three hundred fifty-four billion, seven hundred eighty-eight million, nine hundred sixty-six thousand, four hundred".