7034253408 has 288 divisors, whose sum is σ = 25704090720. Its totient is φ = 1855042560.

The previous prime is 7034253407. The next prime is 7034253517. The reversal of 7034253408 is 8043524307.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7034253408² = 98961442015919228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7034253407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543978 + ... + 556758.

It is an arithmetic number, because the mean of its divisors is an integer number (89250315).

Almost surely, 2^7034253408 is an apocalyptic number.

7034253408 is a gapful number since it is divisible by the number (78) 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 7034253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852045360).

7034253408 is an abundant number, since it is smaller than the sum of its proper divisors (18669837312).

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

7034253408 is a wasteful number, since it uses less digits than its factorization.

7034253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12827 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7034253408 is about 83870.4561094072. The cubic root of 7034253408 is about 1916.0463172512.

The spelling of 7034253408 in words is "seven billion, thirty-four million, two hundred fifty-three thousand, four hundred eight".