1934090400 has 288 divisors, whose sum is σ = 6986177856. Its totient is φ = 460800000.

The previous prime is 1934090371. The next prime is 1934090413. The reversal of 1934090400 is 40904391.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609800 + ... + 1611000.

It is an arithmetic number, because the mean of its divisors is an integer number (24257562).

Almost surely, 2^1934090400 is an apocalyptic number.

1934090400 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 1934090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493088928).

1934090400 is an abundant number, since it is smaller than the sum of its proper divisors (5052087456).

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

1934090400 is a wasteful number, since it uses less digits than its factorization.

1934090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1934090400 is about 43978.2946463366. The cubic root of 1934090400 is about 1245.9260219204.

Adding to 1934090400 its reverse (40904391), we get a palindrome (1974994791).

The spelling of 1934090400 in words is "one billion, nine hundred thirty-four million, ninety thousand, four hundred".