35490672 has 120 divisors (see below), whose sum is σ = 114787296. Its totient is φ = 10027008.

The previous prime is 35490667. The next prime is 35490703. The reversal of 35490672 is 27609453.

It is a super-3 number, since 3×35490672³ (a number of 24 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 137968 + ... + 138224.

Almost surely, 2^35490672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35490672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57393648).

35490672 is an abundant number, since it is smaller than the sum of its proper divisors (79296624).

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

35490672 is a wasteful number, since it uses less digits than its factorization.

35490672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 35490672 is about 5957.4048041072. The cubic root of 35490672 is about 328.6281340244.

The spelling of 35490672 in words is "thirty-five million, four hundred ninety thousand, six hundred seventy-two".