3756270672 has 240 divisors, whose sum is σ = 13592796672. Its totient is φ = 975576960.

The previous prime is 3756270653. The next prime is 3756270677. The reversal of 3756270672 is 2760726573.

3756270672 is a `hidden beast` number, since 375 + 6 + 270 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×3756270672² = 28219138722654663168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3756270677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293103 + ... + 305649.

Almost surely, 2^3756270672 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 3756270672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796398336).

3756270672 is an abundant number, since it is smaller than the sum of its proper divisors (9836526000).

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

3756270672 is a wasteful number, since it uses less digits than its factorization.

3756270672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 3756270672 is about 61288.4220061179. The cubic root of 3756270672 is about 1554.4817456641.

It can be divided in two parts, 37562706 and 72, that added together give a triangular number (37562778 = T₈₆₆₇).

The spelling of 3756270672 in words is "three billion, seven hundred fifty-six million, two hundred seventy thousand, six hundred seventy-two".