3971553480 has 96 divisors (see below), whose sum is σ = 13352671800. Its totient is φ = 1022558208.

The previous prime is 3971553449. The next prime is 3971553493. The reversal of 3971553480 is 843551793.

3971553480 is a `hidden beast` number, since 3 + 97 + 1 + 553 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3924521316 + 47032164 = 62646^2 + 6858^2 .

It is a super-2 number, since 2×3971553480² = 31546474089000220800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 179769 + ... + 200648.

Almost surely, 2^3971553480 is an apocalyptic number.

3971553480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3971553480 is an abundant number, since it is smaller than the sum of its proper divisors (9381118320).

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

3971553480 is a wasteful number, since it uses less digits than its factorization.

3971553480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380463 (or 380456 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3971553480 is about 63020.2624558165. The cubic root of 3971553480 is about 1583.6290932140.

The spelling of 3971553480 in words is "three billion, nine hundred seventy-one million, five hundred fifty-three thousand, four hundred eighty".