354010371408 has 120 divisors (see below), whose sum is σ = 1001983413600. Its totient is φ = 116668369152.

The previous prime is 354010371401. The next prime is 354010371479. The reversal of 354010371408 is 804173010453.

It is a happy number.

354010371408 is a `hidden beast` number, since 3 + 540 + 1 + 0 + 3 + 71 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354010371401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7820103 + ... + 7865241.

It is an arithmetic number, because the mean of its divisors is an integer number (8349861780).

Almost surely, 2^354010371408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354010371408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500991706800).

354010371408 is an abundant number, since it is smaller than the sum of its proper divisors (647973042192).

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

354010371408 is a wasteful number, since it uses less digits than its factorization.

354010371408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45769 (or 45760 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 354010371408 in words is "three hundred fifty-four billion, ten million, three hundred seventy-one thousand, four hundred eight".