35552001408 has 256 divisors, whose sum is σ = 118139696640. Its totient is φ = 9202728960.

The previous prime is 35552001391. The next prime is 35552001421. The reversal of 35552001408 is 80410025553.

It is a super-2 number, since 2×35552001408² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 9371160 + ... + 9374952.

It is an arithmetic number, because the mean of its divisors is an integer number (461483190).

Almost surely, 2^35552001408 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 35552001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59069848320).

35552001408 is an abundant number, since it is smaller than the sum of its proper divisors (82587695232).

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

35552001408 is a wasteful number, since it uses less digits than its factorization.

35552001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 35552001408 in words is "thirty-five billion, five hundred fifty-two million, one thousand, four hundred eight".