3783686400 has 648 divisors, whose sum is σ = 15130309376. Its totient is φ = 895795200.

The previous prime is 3783686383. The next prime is 3783686411. The reversal of 3783686400 is 46863873.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23212719 + ... + 23212881.

Almost surely, 2^3783686400 is an apocalyptic number.

3783686400 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 3783686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565154688).

3783686400 is an abundant number, since it is smaller than the sum of its proper divisors (11346622976).

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

3783686400 is a wasteful number, since it uses less digits than its factorization.

3783686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3783686400 is about 61511.6769402363. The cubic root of 3783686400 is about 1558.2544578327.

The spelling of 3783686400 in words is "three billion, seven hundred eighty-three million, six hundred eighty-six thousand, four hundred".