3776225400 has 192 divisors, whose sum is σ = 13040460000. Its totient is φ = 1004405760.

The previous prime is 3776225389. The next prime is 3776225407. The reversal of 3776225400 is 45226773.

It is a happy number.

It is a Cunningham number, because it is equal to 61451²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776225407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3071986 + ... + 3073214.

Almost surely, 2^3776225400 is an apocalyptic number.

3776225400 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 3776225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520230000).

3776225400 is an abundant number, since it is smaller than the sum of its proper divisors (9264234600).

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

3776225400 is a wasteful number, since it uses less digits than its factorization.

3776225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1808 counting only the distinct ones).

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

The square root of 3776225400 is about 61450.9999918634. Note that the first 5 decimals coincide. The cubic root of 3776225400 is about 1557.2295502452.

The spelling of 3776225400 in words is "three billion, seven hundred seventy-six million, two hundred twenty-five thousand, four hundred".