3734246880 has 1152 divisors, whose sum is σ = 17374694400. Its totient is φ = 740855808.

The previous prime is 3734246863. The next prime is 3734246881. The reversal of 3734246880 is 886424373.

3734246880 is a `hidden beast` number, since 3 + 73 + 42 + 468 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734246881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63292291 + ... + 63292349.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2^3734246880 is an apocalyptic number.

3734246880 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 3734246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

3734246880 is an abundant number, since it is smaller than the sum of its proper divisors (13640447520).

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

3734246880 is a wasteful number, since it uses less digits than its factorization.

3734246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3734246880 is about 61108.4845172911. The cubic root of 3734246880 is about 1551.4377059294.

The spelling of 3734246880 in words is "three billion, seven hundred thirty-four million, two hundred forty-six thousand, eight hundred eighty".