3782702400 has 504 divisors, whose sum is σ = 13679972640. Its totient is φ = 914042880.

The previous prime is 3782702311. The next prime is 3782702431. The reversal of 3782702400 is 42072873.

3782702400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64113571 + ... + 64113629.

Almost surely, 2^3782702400 is an apocalyptic number.

3782702400 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 3782702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839986320).

3782702400 is an abundant number, since it is smaller than the sum of its proper divisors (9897270240).

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

3782702400 is a wasteful number, since it uses less digits than its factorization.

3782702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3782702400 is about 61503.6779388030. The cubic root of 3782702400 is about 1558.1193642437.

The spelling of 3782702400 in words is "three billion, seven hundred eighty-two million, seven hundred two thousand, four hundred".