3364446551040 has 352 divisors, whose sum is σ = 11984087808000. Its totient is φ = 895125897216.

The previous prime is 3364446550987. The next prime is 3364446551083. The reversal of 3364446551040 is 401556444633.

3364446551040 is a `hidden beast` number, since 3 + 36 + 4 + 4 + 4 + 65 + 510 + 40 = 666.

It is a super-2 number, since 2×3364446551040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60659641 + ... + 60715079.

It is an arithmetic number, because the mean of its divisors is an integer number (34045704000).

Almost surely, 2^{3364446551040} is an apocalyptic number.

3364446551040 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 3364446551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992043904000).

3364446551040 is an abundant number, since it is smaller than the sum of its proper divisors (8619641256960).

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

3364446551040 is a wasteful number, since it uses less digits than its factorization.

3364446551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55912 (or 55888 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3364446551040 in words is "three trillion, three hundred sixty-four billion, four hundred forty-six million, five hundred fifty-one thousand, forty".