35400056832 has 288 divisors, whose sum is σ = 119956636800. Its totient is φ = 10107224064.

The previous prime is 35400056801. The next prime is 35400056837. The reversal of 35400056832 is 23865000453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (35400056837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24771894 + ... + 24773322.

It is an arithmetic number, because the mean of its divisors is an integer number (416516100).

Almost surely, 2^35400056832 is an apocalyptic number.

35400056832 is a gapful number since it is divisible by the number (32) 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 35400056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59978318400).

35400056832 is an abundant number, since it is smaller than the sum of its proper divisors (84556579968).

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

35400056832 is an frugal number, since it uses more digits than its factorization.

35400056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 35400056832 in words is "thirty-five billion, four hundred million, fifty-six thousand, eight hundred thirty-two".