3543233379840 has 2560 divisors, whose sum is σ = 16981655961600. Its totient is φ = 677937807360.

The previous prime is 3543233379809. The next prime is 3543233379863. The reversal of 3543233379840 is 489733323453.

3543233379840 is a `hidden beast` number, since 3 + 543 + 2 + 3 + 3 + 3 + 7 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3741534247 + ... + 3741535193.

It is an arithmetic number, because the mean of its divisors is an integer number (6633459360).

Almost surely, 2^{3543233379840} is an apocalyptic number.

3543233379840 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 3543233379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490827980800).

3543233379840 is an abundant number, since it is smaller than the sum of its proper divisors (13438422581760).

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

3543233379840 is a wasteful number, since it uses less digits than its factorization.

3543233379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 3543233379840 in words is "three trillion, five hundred forty-three billion, two hundred thirty-three million, three hundred seventy-nine thousand, eight hundred forty".