3677940 has 144 divisors (see below), whose sum is σ = 13406400. Its totient is φ = 834624.

The previous prime is 3677929. The next prime is 3677951. The reversal of 3677940 is 497763.

3677940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3677929) and next prime (3677951).

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

It is a junction number, because it is equal to n+sod(n) for n = 3677895 and 3677904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26391 + ... + 26529.

It is an arithmetic number, because the mean of its divisors is an integer number (93100).

Almost surely, 2^3677940 is an apocalyptic number.

3677940 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 3677940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703200).

3677940 is an abundant number, since it is smaller than the sum of its proper divisors (9728460).

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

3677940 is a wasteful number, since it uses less digits than its factorization.

3677940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3677940 is about 1917.7956095476. The cubic root of 3677940 is about 154.3600391453.

The spelling of 3677940 in words is "three million, six hundred seventy-seven thousand, nine hundred forty".