35724146460 has 96 divisors (see below), whose sum is σ = 105995760192. Its totient is φ = 8958935040.

The previous prime is 35724146371. The next prime is 35724146483. The reversal of 35724146460 is 6464142753.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334164 + ... + 1360676.

It is an arithmetic number, because the mean of its divisors is an integer number (1104122502).

Almost surely, 2^35724146460 is an apocalyptic number.

35724146460 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 35724146460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52997880096).

35724146460 is an abundant number, since it is smaller than the sum of its proper divisors (70271613732).

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

35724146460 is a wasteful number, since it uses less digits than its factorization.

35724146460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 35724146460 in words is "thirty-five billion, seven hundred twenty-four million, one hundred forty-six thousand, four hundred sixty".