3362628954240 has 1024 divisors, whose sum is σ = 12940010496000. Its totient is φ = 822707601408.

The previous prime is 3362628954233. The next prime is 3362628954257. The reversal of 3362628954240 is 424598262633.

3362628954240 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 628 + 9 + 5 + 4 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×3362628954240² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1924801047 + ... + 1924802793.

It is an arithmetic number, because the mean of its divisors is an integer number (12636729000).

Almost surely, 2^{3362628954240} is an apocalyptic number.

3362628954240 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 3362628954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470005248000).

3362628954240 is an abundant number, since it is smaller than the sum of its proper divisors (9577381541760).

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

3362628954240 is a wasteful number, since it uses less digits than its factorization.

3362628954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3362628954240 in words is "three trillion, three hundred sixty-two billion, six hundred twenty-eight million, nine hundred fifty-four thousand, two hundred forty".