354674987520 has 320 divisors, whose sum is σ = 1372059254016. Its totient is φ = 76299632640.

The previous prime is 354674987483. The next prime is 354674987521. The reversal of 354674987520 is 25789476453.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (354674987521) by changing a digit.

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, 719880 + ... + 1107960.

Almost surely, 2^354674987520 is an apocalyptic number.

354674987520 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 354674987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686029627008).

354674987520 is an abundant number, since it is smaller than the sum of its proper divisors (1017384266496).

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

354674987520 is a wasteful number, since it uses less digits than its factorization.

354674987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388131 (or 388115 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 354674987520 in words is "three hundred fifty-four billion, six hundred seventy-four million, nine hundred eighty-seven thousand, five hundred twenty".