1934896800 has 144 divisors (see below), whose sum is σ = 6444900000. Its totient is φ = 503946240.

The previous prime is 1934896783. The next prime is 1934896801. The reversal of 1934896800 is 86984391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1934896800.

It is not an unprimeable number, because it can be changed into a prime (1934896801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93826 + ... + 112574.

It is an arithmetic number, because the mean of its divisors is an integer number (44756250).

Almost surely, 2^1934896800 is an apocalyptic number.

1934896800 is a gapful number since it is divisible by the number (10) 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 1934896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222450000).

1934896800 is an abundant number, since it is smaller than the sum of its proper divisors (4510003200).

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

1934896800 is a wasteful number, since it uses less digits than its factorization.

1934896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1934896800 is about 43987.4618499408. The cubic root of 1934896800 is about 1246.0991567337.

The spelling of 1934896800 in words is "one billion, nine hundred thirty-four million, eight hundred ninety-six thousand, eight hundred".