1934124864 has 224 divisors, whose sum is σ = 6115507200. Its totient is φ = 538965504.

The previous prime is 1934124859. The next prime is 1934124943. The reversal of 1934124864 is 4684214391.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831467 + ... + 2832149.

Almost surely, 2^1934124864 is an apocalyptic number.

1934124864 is a gapful number since it is divisible by the number (14) 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 1934124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057753600).

1934124864 is an abundant number, since it is smaller than the sum of its proper divisors (4181382336).

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

1934124864 is an equidigital number, since it uses as much as digits as its factorization.

1934124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 738 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1934124864 is about 43978.6864742457. The cubic root of 1934124864 is about 1245.9334223568.

The spelling of 1934124864 in words is "one billion, nine hundred thirty-four million, one hundred twenty-four thousand, eight hundred sixty-four".