354098304000 has 2640 divisors, whose sum is σ = 1665039199824. Its totient is φ = 74317824000.

The previous prime is 354098303987. The next prime is 354098304013. The reversal of 354098304000 is 403890453.

It is an interprime number because it is at equal distance from previous prime (354098303987) and next prime (354098304013).

It can be written as a sum of positive squares in 8 ways, for example, as 160948601856 + 193149702144 = 401184^2 + 439488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8636543980 + ... + 8636544020.

Almost surely, 2^354098304000 is an apocalyptic number.

354098304000 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 354098304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832519599912).

354098304000 is an abundant number, since it is smaller than the sum of its proper divisors (1310940895824).

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

354098304000 is a wasteful number, since it uses less digits than its factorization.

354098304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 354098304000 in words is "three hundred fifty-four billion, ninety-eight million, three hundred four thousand".