3776400 has 90 divisors (see below), whose sum is σ = 13117650. Its totient is φ = 1006080.

The previous prime is 3776369. The next prime is 3776411. The reversal of 3776400 is 46773.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 2944656 = 912^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3776400² = 28522393920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3076 + ... + 4124.

Almost surely, 2^3776400 is an apocalyptic number.

3776400 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 3776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558825).

3776400 is an abundant number, since it is smaller than the sum of its proper divisors (9341250).

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

3776400 is a wasteful number, since it uses less digits than its factorization.

3776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3776400 is about 1943.2961688842. The cubic root of 3776400 is about 155.7253550233.

The spelling of 3776400 in words is "three million, seven hundred seventy-six thousand, four hundred".