35990438400 has 1680 divisors, whose sum is σ = 166379083200. Its totient is φ = 7524679680.

The previous prime is 35990438399. The next prime is 35990438413. The reversal of 35990438400 is 483409953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1241049586 + ... + 1241049614.

Almost surely, 2^35990438400 is an apocalyptic number.

35990438400 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 35990438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83189541600).

35990438400 is an abundant number, since it is smaller than the sum of its proper divisors (130388644800).

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

35990438400 is an equidigital number, since it uses as much as digits as its factorization.

35990438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 35990438400 in words is "thirty-five billion, nine hundred ninety million, four hundred thirty-eight thousand, four hundred".