35374086400 has 81 divisors (see below), whose sum is σ = 87593649073. Its totient is φ = 14143616000.

The previous prime is 35374086389. The next prime is 35374086401. The reversal of 35374086400 is 468047353.

The square root of 35374086400 is 188080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12734671104 + 22639415296 = 112848^2 + 150464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35374086401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15045225 + ... + 15047575.

Almost surely, 2^35374086400 is an apocalyptic number.

35374086400 is the 188080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35374086400

35374086400 is an abundant number, since it is smaller than the sum of its proper divisors (52219562673).

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

35374086400 is an frugal number, since it uses more digits than its factorization.

35374086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 35374086400 in words is "thirty-five billion, three hundred seventy-four million, eighty-six thousand, four hundred".