3783428400 has 60 divisors (see below), whose sum is σ = 12119586152. Its totient is φ = 1008913920.

The previous prime is 3783428329. The next prime is 3783428431. The reversal of 3783428400 is 48243873.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575229 + ... + 1577628.

Almost surely, 2^3783428400 is an apocalyptic number.

3783428400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3783428400 is an abundant number, since it is smaller than the sum of its proper divisors (8336157752).

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

3783428400 is a wasteful number, since it uses less digits than its factorization.

3783428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152878 (or 3152867 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3783428400 is about 61509.5797416955. The cubic root of 3783428400 is about 1558.2190392183.

The spelling of 3783428400 in words is "three billion, seven hundred eighty-three million, four hundred twenty-eight thousand, four hundred".