3734298880 has 288 divisors, whose sum is σ = 10470708864. Its totient is φ = 1263403008.

The previous prime is 3734298877. The next prime is 3734298881. The reversal of 3734298880 is 888924373.

It is a super-4 number, since 4×3734298880⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (3734298881) by changing a digit.

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, 12163687 + ... + 12163993.

It is an arithmetic number, because the mean of its divisors is an integer number (36356628).

Almost surely, 2^3734298880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235354432).

3734298880 is an abundant number, since it is smaller than the sum of its proper divisors (6736409984).

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

3734298880 is a wasteful number, since it uses less digits than its factorization.

3734298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The square root of 3734298880 is about 61108.9099886424. The cubic root of 3734298880 is about 1551.4449072374. Note that the first 3 decimals are identical.

The spelling of 3734298880 in words is "three billion, seven hundred thirty-four million, two hundred ninety-eight thousand, eight hundred eighty".