3671957520 has 480 divisors, whose sum is σ = 15543290880. Its totient is φ = 754652160.

The previous prime is 3671957489. The next prime is 3671957539. The reversal of 3671957520 is 257591763.

3671957520 is a `hidden beast` number, since 3 + 6 + 71 + 9 + 57 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5931771 + ... + 5932389.

It is an arithmetic number, because the mean of its divisors is an integer number (32381856).

Almost surely, 2^3671957520 is an apocalyptic number.

3671957520 is a gapful number since it is divisible by the number (30) 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 3671957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771645440).

3671957520 is an abundant number, since it is smaller than the sum of its proper divisors (11871333360).

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

3671957520 is a wasteful number, since it uses less digits than its factorization.

3671957520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 3671957520 is about 60596.6791169285. The cubic root of 3671957520 is about 1542.7630051322.

It can be divided in two parts, 3671 and 957520, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 3671957520 in words is "three billion, six hundred seventy-one million, nine hundred fifty-seven thousand, five hundred twenty".