3421492400 has 120 divisors (see below), whose sum is σ = 8372370384. Its totient is φ = 1343488000.

The previous prime is 3421492391. The next prime is 3421492409. The reversal of 3421492400 is 42941243.

It is an interprime number because it is at equal distance from previous prime (3421492391) and next prime (3421492409).

It is a super-2 number, since 2×3421492400² = 23413220486515520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3421492409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8532200 + ... + 8532600.

Almost surely, 2^3421492400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186185192).

3421492400 is an abundant number, since it is smaller than the sum of its proper divisors (4950877984).

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

3421492400 is a wasteful number, since it uses less digits than its factorization.

3421492400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3421492400 is about 58493.5244279228. The cubic root of 3421492400 is about 1506.8563752908.

The spelling of 3421492400 in words is "three billion, four hundred twenty-one million, four hundred ninety-two thousand, four hundred".