354081361920 has 832 divisors, whose sum is σ = 1344294862848. Its totient is φ = 78446592000.

The previous prime is 354081361903. The next prime is 354081361937. The reversal of 354081361920 is 29163180453.

It is an interprime number because it is at equal distance from previous prime (354081361903) and next prime (354081361937).

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×354081361920² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1678110615 + ... + 1678110825.

Almost surely, 2^354081361920 is an apocalyptic number.

354081361920 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 354081361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672147431424).

354081361920 is an abundant number, since it is smaller than the sum of its proper divisors (990213500928).

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

354081361920 is a wasteful number, since it uses less digits than its factorization.

354081361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 354081361920 in words is "three hundred fifty-four billion, eighty-one million, three hundred sixty-one thousand, nine hundred twenty".