3962880 has 144 divisors (see below), whose sum is σ = 14054040. Its totient is φ = 1032192.

The previous prime is 3962867. The next prime is 3962897. The reversal of 3962880 is 882693.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92139 + ... + 92181.

Almost surely, 2^3962880 is an apocalyptic number.

3962880 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 3962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027020).

3962880 is an abundant number, since it is smaller than the sum of its proper divisors (10091160).

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

3962880 is a wasteful number, since it uses less digits than its factorization.

3962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3962880 is about 1990.6983699195. The cubic root of 3962880 is about 158.2475423201.

The spelling of 3962880 in words is "three million, nine hundred sixty-two thousand, eight hundred eighty".