3877952 has 56 divisors (see below), whose sum is σ = 8534400. Its totient is φ = 1737216.

The previous prime is 3877943. The next prime is 3877987. The reversal of 3877952 is 2597783.

3877952 = T₂₇₃ + T₂₇₄ + ... + T₃₅₁.

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, 49049 + ... + 49127.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 2^3877952 is an apocalyptic number.

3877952 is a gapful number since it is divisible by the number (32) 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 3877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

3877952 is an abundant number, since it is smaller than the sum of its proper divisors (4656448).

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

3877952 is a wasteful number, since it uses less digits than its factorization.

3877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 3877952 is about 1969.2516345048. The cubic root of 3877952 is about 157.1089078963.

The spelling of 3877952 in words is "three million, eight hundred seventy-seven thousand, nine hundred fifty-two".