35149492672 has 112 divisors (see below), whose sum is σ = 85012865280. Its totient is φ = 14075523072.

The previous prime is 35149492669. The next prime is 35149492789. The reversal of 35149492672 is 27629494153.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042023 + ... + 1075225.

It is an arithmetic number, because the mean of its divisors is an integer number (759043440).

Almost surely, 2^35149492672 is an apocalyptic number.

35149492672 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 35149492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42506432640).

35149492672 is an abundant number, since it is smaller than the sum of its proper divisors (49863372608).

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

35149492672 is a wasteful number, since it uses less digits than its factorization.

35149492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33378 (or 33368 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 35149492672 in words is "thirty-five billion, one hundred forty-nine million, four hundred ninety-two thousand, six hundred seventy-two".