3812278400 has 288 divisors, whose sum is σ = 11241194580. Its totient is φ = 1273036800.

The previous prime is 3812278397. The next prime is 3812278403. The reversal of 3812278400 is 48722183.

It is an interprime number because it is at equal distance from previous prime (3812278397) and next prime (3812278403).

It can be written as a sum of positive squares in 6 ways, for example, as 632220736 + 3180057664 = 25144^2 + 56392^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3812278403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6428504 + ... + 6429096.

Almost surely, 2^3812278400 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 3812278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620597290).

3812278400 is an abundant number, since it is smaller than the sum of its proper divisors (7428916180).

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

3812278400 is a wasteful number, since it uses less digits than its factorization.

3812278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 3812278400 is about 61743.6506857183. The cubic root of 3812278400 is about 1562.1696743846.

The spelling of 3812278400 in words is "three billion, eight hundred twelve million, two hundred seventy-eight thousand, four hundred".