354776400000 has 1728 divisors, whose sum is σ = 1526459800320. Its totient is φ = 78336000000.

The previous prime is 354776399993. The next prime is 354776400023. The reversal of 354776400000 is 4677453.

354776400000 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 7 + 640 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11444399985 + ... + 11444400015.

It is an arithmetic number, because the mean of its divisors is an integer number (883367940).

Almost surely, 2^354776400000 is an apocalyptic number.

354776400000 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 354776400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763229900160).

354776400000 is an abundant number, since it is smaller than the sum of its proper divisors (1171683400320).

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

354776400000 is a wasteful number, since it uses less digits than its factorization.

354776400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 354776400000 in words is "three hundred fifty-four billion, seven hundred seventy-six million, four hundred thousand".