354679542840 has 1024 divisors, whose sum is σ = 1395947520000. Its totient is φ = 70158680064.

The previous prime is 354679542839. The next prime is 354679542923. The reversal of 354679542840 is 48245976453.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1981449871 + ... + 1981450049.

It is an arithmetic number, because the mean of its divisors is an integer number (1363230000).

Almost surely, 2^354679542840 is an apocalyptic number.

354679542840 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 354679542840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697973760000).

354679542840 is an abundant number, since it is smaller than the sum of its proper divisors (1041267977160).

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

354679542840 is a wasteful number, since it uses less digits than its factorization.

354679542840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 354679542840 in words is "three hundred fifty-four billion, six hundred seventy-nine million, five hundred forty-two thousand, eight hundred forty".