3741527952 has 120 divisors (see below), whose sum is σ = 10706904000. Its totient is φ = 1219325184.

The previous prime is 3741527929. The next prime is 3741527963. The reversal of 3741527952 is 2597251473.

It is a happy number.

3741527952 is a `hidden beast` number, since 3 + 74 + 1 + 527 + 9 + 52 = 666.

3741527952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3741527952³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3741527898 and 3741527907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689598 + ... + 1691810.

It is an arithmetic number, because the mean of its divisors is an integer number (89224200).

Almost surely, 2^3741527952 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 3741527952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353452000).

3741527952 is an abundant number, since it is smaller than the sum of its proper divisors (6965376048).

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

3741527952 is a wasteful number, since it uses less digits than its factorization.

3741527952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2476 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 3741527952 is about 61168.0304734426. The cubic root of 3741527952 is about 1552.4453875474.

The spelling of 3741527952 in words is "three billion, seven hundred forty-one million, five hundred twenty-seven thousand, nine hundred fifty-two".