7038209952 has 144 divisors (see below), whose sum is σ = 20267799552. Its totient is φ = 2316625920.

The previous prime is 7038209923. The next prime is 7038209987. The reversal of 7038209952 is 2599028307.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7038209898 and 7038209907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12325827 + ... + 12326397.

It is an arithmetic number, because the mean of its divisors is an integer number (140748608).

Almost surely, 2^7038209952 is an apocalyptic number.

7038209952 is a gapful number since it is divisible by the number (72) 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 7038209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133899776).

7038209952 is an abundant number, since it is smaller than the sum of its proper divisors (13229589600).

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

7038209952 is a wasteful number, since it uses less digits than its factorization.

7038209952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7038209952 is about 83894.0400266908. The cubic root of 7038209952 is about 1916.4054883066.

The spelling of 7038209952 in words is "seven billion, thirty-eight million, two hundred nine thousand, nine hundred fifty-two".