3674880 has 216 divisors, whose sum is σ = 14348880. Its totient is φ = 860160.

The previous prime is 3674863. The next prime is 3674897. The reversal of 3674880 is 884763.

3674880 = 231² + 232² + ... + 285².

It is an interprime number because it is at equal distance from previous prime (3674863) and next prime (3674897).

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, 126706 + ... + 126734.

It is an arithmetic number, because the mean of its divisors is an integer number (66430).

Almost surely, 2^3674880 is an apocalyptic number.

3674880 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 3674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174440).

3674880 is an abundant number, since it is smaller than the sum of its proper divisors (10674000).

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

3674880 is a wasteful number, since it uses less digits than its factorization.

3674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3674880 is about 1916.9976525807. The cubic root of 3674880 is about 154.3172187282.

It can be divided in two parts, 3674 and 880, that added together give a palindrome (4554).

The spelling of 3674880 in words is "three million, six hundred seventy-four thousand, eight hundred eighty".