3692480 has 56 divisors (see below), whose sum is σ = 9601200. Its totient is φ = 1341440.

The previous prime is 3692477. The next prime is 3692527. The reversal of 3692480 is 842963.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2996 + ... + 4044.

It is an arithmetic number, because the mean of its divisors is an integer number (171450).

Almost surely, 2^3692480 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 3692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800600).

3692480 is an abundant number, since it is smaller than the sum of its proper divisors (5908720).

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

3692480 is a wasteful number, since it uses less digits than its factorization.

3692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3692480 is about 1921.5826810210. The cubic root of 3692480 is about 154.5631821963.

The spelling of 3692480 in words is "three million, six hundred ninety-two thousand, four hundred eighty".