7034401920 has 768 divisors, whose sum is σ = 29387750400. Its totient is φ = 1397440512.

The previous prime is 7034401897. The next prime is 7034401931. The reversal of 7034401920 is 291044307.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43155759 + ... + 43155921.

It is an arithmetic number, because the mean of its divisors is an integer number (38265300).

Almost surely, 2^7034401920 is an apocalyptic number.

7034401920 is a gapful number since it is divisible by the number (70) 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 7034401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693875200).

7034401920 is an abundant number, since it is smaller than the sum of its proper divisors (22353348480).

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

7034401920 is a wasteful number, since it uses less digits than its factorization.

7034401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 7034401920 is about 83871.3414701351. The cubic root of 7034401920 is about 1916.0598014526.

The spelling of 7034401920 in words is "seven billion, thirty-four million, four hundred one thousand, nine hundred twenty".