3348090955440 has 1120 divisors, whose sum is σ = 14757366039552. Its totient is φ = 685843200000.

The previous prime is 3348090955423. The next prime is 3348090955463. The reversal of 3348090955440 is 445590908433.

3348090955440 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 0 + 9 + 0 + 95 + 544 + 0 = 666.

It is a super-2 number, since 2×3348090955440² (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 223 ways as a sum of consecutive naturals, for example, 318830190 + ... + 318840690.

Almost surely, 2^{3348090955440} is an apocalyptic number.

3348090955440 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 3348090955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378683019776).

3348090955440 is an abundant number, since it is smaller than the sum of its proper divisors (11409275084112).

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

3348090955440 is a wasteful number, since it uses less digits than its factorization.

3348090955440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3348090955440 in words is "three trillion, three hundred forty-eight billion, ninety million, nine hundred fifty-five thousand, four hundred forty".