3724752672 has 144 divisors (see below), whose sum is σ = 11074452480. Its totient is φ = 1186099200.

The previous prime is 3724752653. The next prime is 3724752673. The reversal of 3724752672 is 2762574273.

3724752672 is a `hidden beast` number, since 37 + 24 + 7 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3724752672² = 27747564935142279168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3724752673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702672 + ... + 707952.

It is an arithmetic number, because the mean of its divisors is an integer number (76905920).

Almost surely, 2^3724752672 is an apocalyptic number.

3724752672 is a gapful number since it is divisible by the number (32) 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 3724752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537226240).

3724752672 is an abundant number, since it is smaller than the sum of its proper divisors (7349699808).

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

3724752672 is a wasteful number, since it uses less digits than its factorization.

3724752672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5396 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 3724752672 is about 61030.7518551099. The cubic root of 3724752672 is about 1550.1217624775.

The spelling of 3724752672 in words is "three billion, seven hundred twenty-four million, seven hundred fifty-two thousand, six hundred seventy-two".