35980416 has 128 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 11547648.

The previous prime is 35980409. The next prime is 35980453. The reversal of 35980416 is 61408953.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 100045 + ... + 100403.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^35980416 is an apocalyptic number.

35980416 is a gapful number since it is divisible by the number (36) 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 35980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

35980416 is an abundant number, since it is smaller than the sum of its proper divisors (74179584).

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

35980416 is a wasteful number, since it uses less digits than its factorization.

35980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 35980416 is about 5998.3677779876. The cubic root of 35980416 is about 330.1328390814.

The spelling of 35980416 in words is "thirty-five million, nine hundred eighty thousand, four hundred sixteen".