3669012748800 has 540 divisors, whose sum is σ = 15274143462006. Its totient is φ = 838630195200.

The previous prime is 3669012748783. The next prime is 3669012748811. The reversal of 3669012748800 is 88472109663.

3669012748800 is a `hidden beast` number, since 3 + 66 + 90 + 12 + 7 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3329953433856 + 339059314944 = 1824816^2 + 582288^2 .

It is a super-3 number, since 3×3669012748800³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5319810 + ... + 5969790.

Almost surely, 2^{3669012748800} is an apocalyptic number.

3669012748800 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 3669012748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637071731003).

3669012748800 is an abundant number, since it is smaller than the sum of its proper divisors (11605130713206).

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

3669012748800 is a wasteful number, since it uses less digits than its factorization.

3669012748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650029 (or 649998 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3669012748800 in words is "three trillion, six hundred sixty-nine billion, twelve million, seven hundred forty-eight thousand, eight hundred".