4078732000 has 384 divisors, whose sum is σ = 12237668352. Its totient is φ = 1306368000.

The previous prime is 4078731997. The next prime is 4078732003. The reversal of 4078732000 is 2378704.

It is an interprime number because it is at equal distance from previous prime (4078731997) and next prime (4078732003).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078732003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32115937 + ... + 32116063.

It is an arithmetic number, because the mean of its divisors is an integer number (31868928).

Almost surely, 2^4078732000 is an apocalyptic number.

4078732000 is a gapful number since it is divisible by the number (40) 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 4078732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118834176).

4078732000 is an abundant number, since it is smaller than the sum of its proper divisors (8158936352).

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

4078732000 is a wasteful number, since it uses less digits than its factorization.

4078732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 4078732000 is about 63864.9512643672. The cubic root of 4078732000 is about 1597.7483954093.

The spelling of 4078732000 in words is "four billion, seventy-eight million, seven hundred thirty-two thousand".