3757840 has 40 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 1485696.

The previous prime is 3757837. The next prime is 3757861. The reversal of 3757840 is 487573.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3757840² = 28242722931200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3757796 and 3757805.

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, 8341 + ... + 8779.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^3757840 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 3757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3757840 is an abundant number, since it is smaller than the sum of its proper divisors (5080880).

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

3757840 is a wasteful number, since it uses less digits than its factorization.

3757840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 3757840 is about 1938.5148954806. The cubic root of 3757840 is about 155.4698197236.

The spelling of 3757840 in words is "three million, seven hundred fifty-seven thousand, eight hundred forty".