3893400000 has 672 divisors, whose sum is σ = 16508943360. Its totient is φ = 881280000.

The previous prime is 3893399989. The next prime is 3893400013. The reversal of 3893400000 is 43983.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37799949 + ... + 37800051.

It is an arithmetic number, because the mean of its divisors is an integer number (24566880).

Almost surely, 2^3893400000 is an apocalyptic number.

3893400000 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 3893400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

3893400000 is an abundant number, since it is smaller than the sum of its proper divisors (12615543360).

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

3893400000 is an equidigital number, since it uses as much as digits as its factorization.

3893400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3893400000 is about 62397.1153179376. The cubic root of 3893400000 is about 1573.1724834763.

Adding to 3893400000 its reverse (43983), we get a palindrome (3893443983).

The spelling of 3893400000 in words is "three billion, eight hundred ninety-three million, four hundred thousand".