3492099072 has 792 divisors, whose sum is σ = 13833462240. Its totient is φ = 836075520.

The previous prime is 3492099071. The next prime is 3492099073. The reversal of 3492099072 is 2709902943.

3492099072 is a `hidden beast` number, since 3 + 492 + 0 + 9 + 90 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3492099071) and next prime (3492099073).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×3492099072² = 24389511857326522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3492099071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94381038 + ... + 94381074.

Almost surely, 2^3492099072 is an apocalyptic number.

3492099072 is a gapful number since it is divisible by the number (32) 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 3492099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916731120).

3492099072 is an abundant number, since it is smaller than the sum of its proper divisors (10341363168).

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

3492099072 is a wasteful number, since it uses less digits than its factorization.

3492099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3492099072 is about 59093.9850746250. The cubic root of 3492099072 is about 1517.1511551448.

It can be divided in two parts, 349209 and 9072, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 3492099072 in words is "three billion, four hundred ninety-two million, ninety-nine thousand, seventy-two".