3428480390400 has 2592 divisors, whose sum is σ = 14623628527872. Its totient is φ = 788299776000.

The previous prime is 3428480390393. The next prime is 3428480390407. The reversal of 3428480390400 is 40930848243.

3428480390400 is a `hidden beast` number, since 3 + 4 + 2 + 84 + 80 + 3 + 90 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3428480390393) and next prime (3428480390407).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428480390407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33945350350 + ... + 33945350450.

Almost surely, 2^{3428480390400} is an apocalyptic number.

3428480390400 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 3428480390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311814263936).

3428480390400 is an abundant number, since it is smaller than the sum of its proper divisors (11195148137472).

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

3428480390400 is a wasteful number, since it uses less digits than its factorization.

3428480390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3428480390400 in words is "three trillion, four hundred twenty-eight billion, four hundred eighty million, three hundred ninety thousand, four hundred".