354245003522340 has 192 divisors, whose sum is σ = 1170941410050048. Its totient is φ = 78305428454400.

The previous prime is 354245003522279. The next prime is 354245003522411. The reversal of 354245003522340 is 43225300542453.

It is a super-3 number, since 3×354245003522340³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 354245003522292 and 354245003522301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10097017 + ... + 28468223.

It is an arithmetic number, because the mean of its divisors is an integer number (6098653177344).

Almost surely, 2^{354245003522340} is an apocalyptic number.

354245003522340 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 354245003522340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585470705025024).

354245003522340 is an abundant number, since it is smaller than the sum of its proper divisors (816696406527708).

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

354245003522340 is a wasteful number, since it uses less digits than its factorization.

354245003522340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372738 (or 18372736 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 42.

The spelling of 354245003522340 in words is "three hundred fifty-four trillion, two hundred forty-five billion, three million, five hundred twenty-two thousand, three hundred forty".