3352557003840 has 1344 divisors, whose sum is σ = 13876459204608. Its totient is φ = 761425920000.

The previous prime is 3352557003833. The next prime is 3352557003853. The reversal of 3352557003840 is 483007552533.

3352557003840 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 5 + 570 + 0 + 38 + 40 = 666.

It is a super-2 number, since 2×3352557003840² (a number of 26 digits) 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 191 ways as a sum of consecutive naturals, for example, 4464123465 + ... + 4464124215.

It is an arithmetic number, because the mean of its divisors is an integer number (10324746432).

Almost surely, 2^{3352557003840} is an apocalyptic number.

3352557003840 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 3352557003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938229602304).

3352557003840 is an abundant number, since it is smaller than the sum of its proper divisors (10523902200768).

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

3352557003840 is a wasteful number, since it uses less digits than its factorization.

3352557003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 3352557003840 in words is "three trillion, three hundred fifty-two billion, five hundred fifty-seven million, three thousand, eight hundred forty".