354277034496 has 960 divisors, whose sum is σ = 1337514393600. Its totient is φ = 90617978880.

The previous prime is 354277034491. The next prime is 354277034533. The reversal of 354277034496 is 694430772453.

It is a happy number.

354277034496 is a `hidden beast` number, since 3 + 54 + 2 + 7 + 70 + 34 + 496 = 666.

It is a super-3 number, since 3×354277034496³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (354277034491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925005121 + ... + 925005503.

It is an arithmetic number, because the mean of its divisors is an integer number (1393244160).

Almost surely, 2^354277034496 is an apocalyptic number.

354277034496 is a gapful number since it is divisible by the number (36) 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 354277034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668757196800).

354277034496 is an abundant number, since it is smaller than the sum of its proper divisors (983237359104).

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

354277034496 is a wasteful number, since it uses less digits than its factorization.

354277034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 354277034496 in words is "three hundred fifty-four billion, two hundred seventy-seven million, thirty-four thousand, four hundred ninety-six".