3782342400 has 216 divisors, whose sum is σ = 12914850480. Its totient is φ = 973701120.

The previous prime is 3782342383. The next prime is 3782342411. The reversal of 3782342400 is 42432873.

It is a super-2 number, since 2×3782342400² = 28612228061675520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553404 + ... + 560196.

Almost surely, 2^3782342400 is an apocalyptic number.

3782342400 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 3782342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457425240).

3782342400 is an abundant number, since it is smaller than the sum of its proper divisors (9132508080).

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

3782342400 is a wasteful number, since it uses less digits than its factorization.

3782342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3782342400 is about 61500.7512149242. The cubic root of 3782342400 is about 1558.0699339064.

The spelling of 3782342400 in words is "three billion, seven hundred eighty-two million, three hundred forty-two thousand, four hundred".