3641475543552 has 1920 divisors, whose sum is σ = 14221297778688. Its totient is φ = 902961561600.

The previous prime is 3641475543533. The next prime is 3641475543581. The reversal of 3641475543552 is 2553455741463.

3641475543552 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 4 + 7 + 554 + 35 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28673035713 + ... + 28673035839.

Almost surely, 2^{3641475543552} is an apocalyptic number.

3641475543552 is a gapful number since it is divisible by the number (32) 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 3641475543552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110648889344).

3641475543552 is an abundant number, since it is smaller than the sum of its proper divisors (10579822235136).

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

3641475543552 is a wasteful number, since it uses less digits than its factorization.

3641475543552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 54.

The spelling of 3641475543552 in words is "three trillion, six hundred forty-one billion, four hundred seventy-five million, five hundred forty-three thousand, five hundred fifty-two".