3794828400 has 480 divisors, whose sum is σ = 15609715200. Its totient is φ = 865382400.

The previous prime is 3794828399. The next prime is 3794828407. The reversal of 3794828400 is 48284973.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3794828407) 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, 2018661 + ... + 2020539.

It is an arithmetic number, because the mean of its divisors is an integer number (32520240).

Almost surely, 2^3794828400 is an apocalyptic number.

3794828400 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 3794828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804857600).

3794828400 is an abundant number, since it is smaller than the sum of its proper divisors (11814886800).

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

3794828400 is a wasteful number, since it uses less digits than its factorization.

3794828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3794828400 is about 61602.1785329058. The cubic root of 3794828400 is about 1559.7825140595.

The spelling of 3794828400 in words is "three billion, seven hundred ninety-four million, eight hundred twenty-eight thousand, four hundred".