3802464000 has 504 divisors, whose sum is σ = 14289252432. Its totient is φ = 1007769600.

The previous prime is 3802463993. The next prime is 3802464007. The reversal of 3802464000 is 4642083.

3802464000 is a `hidden beast` number, since 380 + 246 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3802463993) and next prime (3802464007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802464007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327919 + ... + 23328081.

Almost surely, 2^3802464000 is an apocalyptic number.

3802464000 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 3802464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144626216).

3802464000 is an abundant number, since it is smaller than the sum of its proper divisors (10486788432).

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

3802464000 is an frugal number, since it uses more digits than its factorization.

3802464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3802464000 is about 61664.1224700393. The cubic root of 3802464000 is about 1560.8279628516.

The spelling of 3802464000 in words is "three billion, eight hundred two million, four hundred sixty-four thousand".