3436992000 has 960 divisors, whose sum is σ = 14638688064. Its totient is φ = 796262400.

The previous prime is 3436991989. The next prime is 3436992001. The reversal of 3436992000 is 2996343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 (3436992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202175992 + ... + 202176008.

Almost surely, 2^3436992000 is an apocalyptic number.

3436992000 is a gapful number since it is divisible by the number (30) 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 3436992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319344032).

3436992000 is an abundant number, since it is smaller than the sum of its proper divisors (11201696064).

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

3436992000 is an equidigital number, since it uses as much as digits as its factorization.

3436992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3436992000 is about 58625.8645991682. The cubic root of 3436992000 is about 1509.1283362980.

The spelling of 3436992000 in words is "three billion, four hundred thirty-six million, nine hundred ninety-two thousand".