35988480 has 264 divisors, whose sum is σ = 137951424. Its totient is φ = 8601600.

The previous prime is 35988479. The next prime is 35988493. The reversal of 35988480 is 8488953.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506845 + ... + 506915.

Almost surely, 2^35988480 is an apocalyptic number.

35988480 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 35988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68975712).

35988480 is an abundant number, since it is smaller than the sum of its proper divisors (101962944).

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

35988480 is a wasteful number, since it uses less digits than its factorization.

35988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 35988480 is about 5999.0399231877. The cubic root of 35988480 is about 330.1575005746.

The spelling of 35988480 in words is "thirty-five million, nine hundred eighty-eight thousand, four hundred eighty".