3763144400 has 120 divisors (see below), whose sum is σ = 9387624600. Its totient is φ = 1447936000.

The previous prime is 3763144397. The next prime is 3763144403. The reversal of 3763144400 is 44413673.

It is an interprime number because it is at equal distance from previous prime (3763144397) and next prime (3763144403).

It can be written as a sum of positive squares in 12 ways, for example, as 4963984 + 3758180416 = 2228^2 + 61304^2 .

It is a super-2 number, since 2×3763144400² = 28322511550502720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763144403) 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, 4651196 + ... + 4652004.

It is an arithmetic number, because the mean of its divisors is an integer number (78230205).

Almost surely, 2^3763144400 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 3763144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693812300).

3763144400 is an abundant number, since it is smaller than the sum of its proper divisors (5624480200).

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

3763144400 is a wasteful number, since it uses less digits than its factorization.

3763144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3763144400 is about 61344.4732636934. The cubic root of 3763144400 is about 1555.4293676172.

The spelling of 3763144400 in words is "three billion, seven hundred sixty-three million, one hundred forty-four thousand, four hundred".