354687273408 has 224 divisors, whose sum is σ = 1068421536000. Its totient is φ = 102943678464.

The previous prime is 354687273371. The next prime is 354687273439. The reversal of 354687273408 is 804372786453.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11033743 + ... + 11065841.

It is an arithmetic number, because the mean of its divisors is an integer number (4769739000).

Almost surely, 2^354687273408 is an apocalyptic number.

354687273408 is a gapful number since it is divisible by the number (38) 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 354687273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534210768000).

354687273408 is an abundant number, since it is smaller than the sum of its proper divisors (713734262592).

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

354687273408 is a wasteful number, since it uses less digits than its factorization.

354687273408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32379 (or 32369 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 354687273408 in words is "three hundred fifty-four billion, six hundred eighty-seven million, two hundred seventy-three thousand, four hundred eight".