3420662400 has 576 divisors, whose sum is σ = 13051977120. Its totient is φ = 884183040.

The previous prime is 3420662393. The next prime is 3420662407. The reversal of 3420662400 is 42660243.

3420662400 is a `hidden beast` number, since 34 + 2 + 0 + 6 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3420662393) and next prime (3420662407).

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

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

It is not an unprimeable number, because it can be changed into a prime (3420662407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41212759 + ... + 41212841.

Almost surely, 2^3420662400 is an apocalyptic number.

3420662400 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 3420662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525988560).

3420662400 is an abundant number, since it is smaller than the sum of its proper divisors (9631314720).

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

3420662400 is an equidigital number, since it uses as much as digits as its factorization.

3420662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3420662400 is about 58486.4291951560. The cubic root of 3420662400 is about 1506.7345189202.

The spelling of 3420662400 in words is "three billion, four hundred twenty million, six hundred sixty-two thousand, four hundred".