354240004352 has 144 divisors (see below), whose sum is σ = 779843232000. Its totient is φ = 159601508352.

The previous prime is 354240004331. The next prime is 354240004361. The reversal of 354240004352 is 253400042453.

It is a super-3 number, since 3×354240004352³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23391599 + ... + 23406737.

It is an arithmetic number, because the mean of its divisors is an integer number (5415578000).

Almost surely, 2^354240004352 is an apocalyptic number.

354240004352 is a gapful number since it is divisible by the number (32) 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 354240004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389921616000).

354240004352 is an abundant number, since it is smaller than the sum of its proper divisors (425603227648).

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

354240004352 is a wasteful number, since it uses less digits than its factorization.

354240004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15336 (or 15322 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 354240004352 in words is "three hundred fifty-four billion, two hundred forty million, four thousand, three hundred fifty-two".