3380988470400 has 576 divisors, whose sum is σ = 13169490952800. Its totient is φ = 854140723200.

The previous prime is 3380988470357. The next prime is 3380988470449. The reversal of 3380988470400 is 40748890833.

3380988470400 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 98 + 84 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3380988470400² (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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14659980 + ... + 14888820.

Almost surely, 2^{3380988470400} is an apocalyptic number.

3380988470400 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 3380988470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584745476400).

3380988470400 is an abundant number, since it is smaller than the sum of its proper divisors (9788502482400).

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

3380988470400 is a wasteful number, since it uses less digits than its factorization.

3380988470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228899 (or 228870 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3380988470400 in words is "three trillion, three hundred eighty billion, nine hundred eighty-eight million, four hundred seventy thousand, four hundred".