3380002025400 has 3072 divisors, whose sum is σ = 16856521113600. Its totient is φ = 599436288000.

The previous prime is 3380002025363. The next prime is 3380002025461. The reversal of 3380002025400 is 45202000833.

It is a super-2 number, since 2×3380002025400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3854049762 + ... + 3854050638.

It is an arithmetic number, because the mean of its divisors is an integer number (5487148800).

Almost surely, 2^{3380002025400} is an apocalyptic number.

3380002025400 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 3380002025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428260556800).

3380002025400 is an abundant number, since it is smaller than the sum of its proper divisors (13476519088200).

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

3380002025400 is a wasteful number, since it uses less digits than its factorization.

3380002025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 3380002025400 in words is "three trillion, three hundred eighty billion, two million, twenty-five thousand, four hundred".