1934870400 has 432 divisors, whose sum is σ = 7274117760. Its totient is φ = 489646080.

The previous prime is 1934870381. The next prime is 1934870437. The reversal of 1934870400 is 40784391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15235137 + ... + 15235263.

Almost surely, 2^1934870400 is an apocalyptic number.

1934870400 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 1934870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637058880).

1934870400 is an abundant number, since it is smaller than the sum of its proper divisors (5339247360).

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

1934870400 is a wasteful number, since it uses less digits than its factorization.

1934870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1934870400 is about 43987.1617634055. The cubic root of 1934870400 is about 1246.0934893914.

The spelling of 1934870400 in words is "one billion, nine hundred thirty-four million, eight hundred seventy thousand, four hundred".