3395103828480 has 800 divisors, whose sum is σ = 14966469834624. Its totient is φ = 716325617664.

The previous prime is 3395103828383. The next prime is 3395103828497. The reversal of 3395103828480 is 848283015933.

3395103828480 is a `hidden beast` number, since 3 + 3 + 9 + 510 + 3 + 82 + 8 + 48 + 0 = 666.

It is a super-3 number, since 3×3395103828480³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18779799 + ... + 18959721.

Almost surely, 2^{3395103828480} is an apocalyptic number.

3395103828480 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 3395103828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483234917312).

3395103828480 is an abundant number, since it is smaller than the sum of its proper divisors (11571366006144).

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

3395103828480 is a wasteful number, since it uses less digits than its factorization.

3395103828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179978 (or 179953 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3395103828480 in words is "three trillion, three hundred ninety-five billion, one hundred three million, eight hundred twenty-eight thousand, four hundred eighty".