3802078400 has 84 divisors (see below), whose sum is σ = 9487540080. Its totient is φ = 1499366400.

The previous prime is 3802078393. The next prime is 3802078409. The reversal of 3802078400 is 48702083.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3802078409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96866 + ... + 130334.

Almost surely, 2^3802078400 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 3802078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743770040).

3802078400 is an abundant number, since it is smaller than the sum of its proper divisors (5685461680).

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

3802078400 is a wasteful number, since it uses less digits than its factorization.

3802078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33562 (or 33547 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 3802078400 is about 61660.9957752873. The cubic root of 3802078400 is about 1560.7752009576.

The spelling of 3802078400 in words is "three billion, eight hundred two million, seventy-eight thousand, four hundred".