35952480 has 72 divisors (see below), whose sum is σ = 122692752. Its totient is φ = 9586944.

The previous prime is 35952479. The next prime is 35952559. The reversal of 35952480 is 8425953.

35952480 is a `hidden beast` number, since 3 + 59 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11044 + ... + 13923.

It is an arithmetic number, because the mean of its divisors is an integer number (1704066).

Almost surely, 2^35952480 is an apocalyptic number.

35952480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35952480 is an abundant number, since it is smaller than the sum of its proper divisors (86740272).

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

35952480 is a wasteful number, since it uses less digits than its factorization.

35952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24988 (or 24977 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 35952480 is about 5996.0386923368. The cubic root of 35952480 is about 330.0473761183.

The spelling of 35952480 in words is "thirty-five million, nine hundred fifty-two thousand, four hundred eighty".