3753967680 has 140 divisors (see below), whose sum is σ = 13353615660. Its totient is φ = 1001051136.

The previous prime is 3753967673. The next prime is 3753967703. The reversal of 3753967680 is 867693573.

3753967680 is a `hidden beast` number, since 37 + 539 + 6 + 76 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1059111936 + 2694855744 = 32544^2 + 51912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46495 + ... + 98334.

It is an arithmetic number, because the mean of its divisors is an integer number (95382969).

Almost surely, 2^3753967680 is an apocalyptic number.

3753967680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3753967680 is an abundant number, since it is smaller than the sum of its proper divisors (9599647980).

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

3753967680 is a wasteful number, since it uses less digits than its factorization.

3753967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144858 (or 144839 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3753967680 is about 61269.6309765287. The cubic root of 3753967680 is about 1554.1639933669.

The spelling of 3753967680 in words is "three billion, seven hundred fifty-three million, nine hundred sixty-seven thousand, six hundred eighty".