3775262400 has 1008 divisors, whose sum is σ = 17150957824. Its totient is φ = 766402560.

The previous prime is 3775262377. The next prime is 3775262423. The reversal of 3775262400 is 42625773.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3775262377) and next prime (3775262423).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56347167 + ... + 56347233.

Almost surely, 2^3775262400 is an apocalyptic number.

3775262400 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 3775262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575478912).

3775262400 is an abundant number, since it is smaller than the sum of its proper divisors (13375695424).

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

3775262400 is a wasteful number, since it uses less digits than its factorization.

3775262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3775262400 is about 61443.1639810321. The cubic root of 3775262400 is about 1557.0971658851.

The spelling of 3775262400 in words is "three billion, seven hundred seventy-five million, two hundred sixty-two thousand, four hundred".