1934353872 has 240 divisors, whose sum is σ = 6326261760. Its totient is φ = 566870400.

The previous prime is 1934353871. The next prime is 1934353877. The reversal of 1934353872 is 2783534391.

1934353872 is a `hidden beast` number, since 1 + 9 + 3 + 43 + 538 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934353871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325079 + ... + 1326537.

It is an arithmetic number, because the mean of its divisors is an integer number (26359424).

Almost surely, 2^1934353872 is an apocalyptic number.

1934353872 is a gapful number since it is divisible by the number (12) 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 1934353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163130880).

1934353872 is an abundant number, since it is smaller than the sum of its proper divisors (4391907888).

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

1934353872 is a wasteful number, since it uses less digits than its factorization.

1934353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1506 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1934353872 is about 43981.2900220082. The cubic root of 1934353872 is about 1245.9825948906.

The spelling of 1934353872 in words is "one billion, nine hundred thirty-four million, three hundred fifty-three thousand, eight hundred seventy-two".