3980400 has 120 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 1017600.

The previous prime is 3980399. The next prime is 3980401. The reversal of 3980400 is 40893.

It is an interprime number because it is at equal distance from previous prime (3980399) and next prime (3980401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37147 + ... + 37253.

Almost surely, 2^3980400 is an apocalyptic number.

3980400 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 3980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

3980400 is an abundant number, since it is smaller than the sum of its proper divisors (9304464).

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

3980400 is a wasteful number, since it uses less digits than its factorization.

3980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3980400 is about 1995.0939827487. The cubic root of 3980400 is about 158.4804050517.

The spelling of 3980400 in words is "three million, nine hundred eighty thousand, four hundred".