3741142464 has 168 divisors, whose sum is σ = 11605077120. Its totient is φ = 1192713984.

The previous prime is 3741142439. The next prime is 3741142529. The reversal of 3741142464 is 4642411473.

It is a super-3 number, since 3×3741142464³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352467 + ... + 362925.

It is an arithmetic number, because the mean of its divisors is an integer number (69077840).

Almost surely, 2^3741142464 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 3741142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802538560).

3741142464 is an abundant number, since it is smaller than the sum of its proper divisors (7863934656).

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

3741142464 is a wasteful number, since it uses less digits than its factorization.

3741142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509 (or 10487 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3741142464 is about 61164.8793344677. The cubic root of 3741142464 is about 1552.3920697915.

The spelling of 3741142464 in words is "three billion, seven hundred forty-one million, one hundred forty-two thousand, four hundred sixty-four".