35495678400 has 1512 divisors, whose sum is σ = 157696692480. Its totient is φ = 6944071680.

The previous prime is 35495678363. The next prime is 35495678401. The reversal of 35495678400 is 487659453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35495678401) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 755227177 + ... + 755227223.

Almost surely, 2^35495678400 is an apocalyptic number.

35495678400 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 35495678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848346240).

35495678400 is an abundant number, since it is smaller than the sum of its proper divisors (122201014080).

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

35495678400 is a wasteful number, since it uses less digits than its factorization.

35495678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

It can be divided in two parts, 3549 and 5678400, that multiplied together give a square (20152641600 = 141960²).

The spelling of 35495678400 in words is "thirty-five billion, four hundred ninety-five million, six hundred seventy-eight thousand, four hundred".