3734115840 has 720 divisors, whose sum is σ = 16120941408. Its totient is φ = 782106624.

The previous prime is 3734115823. The next prime is 3734115863. The reversal of 3734115840 is 485114373.

It is a happy number.

3734115840 is a `hidden beast` number, since 3 + 73 + 4 + 1 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3734115840² = 27887242213077811200, which contains 22 as substring.

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 = 3734115795 and 3734115804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27256252 + ... + 27256388.

Almost surely, 2^3734115840 is an apocalyptic number.

3734115840 is a gapful number since it is divisible by the number (30) 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 3734115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060470704).

3734115840 is an abundant number, since it is smaller than the sum of its proper divisors (12386825568).

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

3734115840 is a wasteful number, since it uses less digits than its factorization.

3734115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3734115840 is about 61107.4123163467. The cubic root of 3734115840 is about 1551.4195583366.

The spelling of 3734115840 in words is "three billion, seven hundred thirty-four million, one hundred fifteen thousand, eight hundred forty".