34731721440 has 144 divisors (see below), whose sum is σ = 127639145088. Its totient is φ = 8549342208.

The previous prime is 34731721433. The next prime is 34731721457. The reversal of 34731721440 is 4412713743.

34731721440 is a `hidden beast` number, since 3 + 47 + 3 + 172 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 34731721395 and 34731721404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908944 + ... + 946383.

It is an arithmetic number, because the mean of its divisors is an integer number (886382952).

Almost surely, 2^34731721440 is an apocalyptic number.

34731721440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34731721440 is an abundant number, since it is smaller than the sum of its proper divisors (92907423648).

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

34731721440 is a wasteful number, since it uses less digits than its factorization.

34731721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855361 (or 1855350 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34731721440 in words is "thirty-four billion, seven hundred thirty-one million, seven hundred twenty-one thousand, four hundred forty".