35946979740 has 768 divisors, whose sum is σ = 140352307200. Its totient is φ = 7453016064.

The previous prime is 35946979727. The next prime is 35946979751. The reversal of 35946979740 is 4797964953.

35946979740 is a `hidden beast` number, since 35 + 9 + 469 + 79 + 74 + 0 = 666.

35946979740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 370587372 + ... + 370587468.

It is an arithmetic number, because the mean of its divisors is an integer number (182750400).

Almost surely, 2^35946979740 is an apocalyptic number.

35946979740 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 35946979740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70176153600).

35946979740 is an abundant number, since it is smaller than the sum of its proper divisors (104405327460).

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

35946979740 is a wasteful number, since it uses less digits than its factorization.

35946979740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 35946979740 in words is "thirty-five billion, nine hundred forty-six million, nine hundred seventy-nine thousand, seven hundred forty".