3815078400 has 960 divisors, whose sum is σ = 17048908800. Its totient is φ = 816168960.

The previous prime is 3815078359. The next prime is 3815078401. The reversal of 3815078400 is 48705183.

3815078400 is a `hidden beast` number, since 38 + 150 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (3815078401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964759 + ... + 45964841.

It is an arithmetic number, because the mean of its divisors is an integer number (17759280).

Almost surely, 2^3815078400 is an apocalyptic number.

3815078400 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 3815078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524454400).

3815078400 is an abundant number, since it is smaller than the sum of its proper divisors (13233830400).

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

3815078400 is a wasteful number, since it uses less digits than its factorization.

3815078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3815078400 is about 61766.3209200613. The cubic root of 3815078400 is about 1562.5520358137.

The spelling of 3815078400 in words is "three billion, eight hundred fifteen million, seventy-eight thousand, four hundred".