3020010400 has 288 divisors, whose sum is σ = 8612448768. Its totient is φ = 1023052800.

The previous prime is 3020010397. The next prime is 3020010481. The reversal of 3020010400 is 40100203.

It is a super-2 number, since 2×3020010400² = 18240925632216320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8703027 + ... + 8703373.

It is an arithmetic number, because the mean of its divisors is an integer number (29904336).

Almost surely, 2^3020010400 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 3020010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306224384).

3020010400 is an abundant number, since it is smaller than the sum of its proper divisors (5592438368).

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

3020010400 is a wasteful number, since it uses less digits than its factorization.

3020010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3020010400 is about 54954.6212797432. The cubic root of 3020010400 is about 1445.4491326258.

Adding to 3020010400 its reverse (40100203), we get a palindrome (3060110603).

The spelling of 3020010400 in words is "three billion, twenty million, ten thousand, four hundred".