354264913920 has 384 divisors, whose sum is σ = 1166943697920. Its totient is φ = 91705835520.

The previous prime is 354264913907. The next prime is 354264913957. The reversal of 354264913920 is 29319462453.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×354264913920³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 354264913920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189142104 + ... + 189143976.

It is an arithmetic number, because the mean of its divisors is an integer number (3038915880).

Almost surely, 2^354264913920 is an apocalyptic number.

354264913920 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 354264913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583471848960).

354264913920 is an abundant number, since it is smaller than the sum of its proper divisors (812678784000).

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

354264913920 is a wasteful number, since it uses less digits than its factorization.

354264913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 354264913920 in words is "three hundred fifty-four billion, two hundred sixty-four million, nine hundred thirteen thousand, nine hundred twenty".