3378040312500 has 288 divisors, whose sum is σ = 12198518771712. Its totient is φ = 772119000000.

The previous prime is 3378040312499. The next prime is 3378040312531. The reversal of 3378040312500 is 52130408733.

3378040312500 is a `hidden beast` number, since 3 + 3 + 7 + 80 + 40 + 31 + 2 + 500 = 666.

It is a super-2 number, since 2×3378040312500² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19601709 + ... + 19773291.

Almost surely, 2^{3378040312500} is an apocalyptic number.

3378040312500 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 3378040312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099259385856).

3378040312500 is an abundant number, since it is smaller than the sum of its proper divisors (8820478459212).

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

3378040312500 is an equidigital number, since it uses as much as digits as its factorization.

3378040312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171635 (or 171600 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3378040312500 in words is "three trillion, three hundred seventy-eight billion, forty million, three hundred twelve thousand, five hundred".