3020354400 has 576 divisors, whose sum is σ = 11912237568. Its totient is φ = 650280960.

The previous prime is 3020354371. The next prime is 3020354429. The reversal of 3020354400 is 44530203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3020354371) and next prime (3020354429).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26728744 + ... + 26728856.

It is an arithmetic number, because the mean of its divisors is an integer number (20680968).

Almost surely, 2^3020354400 is an apocalyptic number.

3020354400 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 3020354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956118784).

3020354400 is an abundant number, since it is smaller than the sum of its proper divisors (8891883168).

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

3020354400 is a wasteful number, since it uses less digits than its factorization.

3020354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3020354400 is about 54957.7510456896. The cubic root of 3020354400 is about 1445.5040127484.

Adding to 3020354400 its reverse (44530203), we get a palindrome (3064884603).

The spelling of 3020354400 in words is "three billion, twenty million, three hundred fifty-four thousand, four hundred".