354542346720 has 864 divisors, whose sum is σ = 1374573799872. Its totient is φ = 82742280192.

The previous prime is 354542346707. The next prime is 354542346731. The reversal of 354542346720 is 27643245453.

354542346720 is a `hidden beast` number, since 3 + 5 + 4 + 542 + 34 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3252682026 + ... + 3252682134.

It is an arithmetic number, because the mean of its divisors is an integer number (1590941898).

Almost surely, 2^354542346720 is an apocalyptic number.

354542346720 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 354542346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687286899936).

354542346720 is an abundant number, since it is smaller than the sum of its proper divisors (1020031453152).

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

354542346720 is a wasteful number, since it uses less digits than its factorization.

354542346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 354542346720 in words is "three hundred fifty-four billion, five hundred forty-two million, three hundred forty-six thousand, seven hundred twenty".