3464929920000 has 440 divisors, whose sum is σ = 11558216761696. Its totient is φ = 922558464000.

The previous prime is 3464929919953. The next prime is 3464929920029. The reversal of 3464929920000 is 299294643.

It is a super-2 number, since 2×3464929920000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1983359127 + ... + 1983360873.

Almost surely, 2^{3464929920000} is an apocalyptic number.

3464929920000 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 3464929920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779108380848).

3464929920000 is an abundant number, since it is smaller than the sum of its proper divisors (8093286841696).

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

3464929920000 is a wasteful number, since it uses less digits than its factorization.

3464929920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 3464929920000 in words is "three trillion, four hundred sixty-four billion, nine hundred twenty-nine million, nine hundred twenty thousand".