3928811040 has 960 divisors, whose sum is σ = 17984913408. Its totient is φ = 783820800.

The previous prime is 3928811023. The next prime is 3928811053. The reversal of 3928811040 is 401188293.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3928810986 and 3928811004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30935457 + ... + 30935583.

Almost surely, 2^3928811040 is an apocalyptic number.

3928811040 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 3928811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992456704).

3928811040 is an abundant number, since it is smaller than the sum of its proper divisors (14056102368).

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

3928811040 is a wasteful number, since it uses less digits than its factorization.

3928811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3928811040 is about 62680.2284616130. The cubic root of 3928811040 is about 1577.9275075489.

The spelling of 3928811040 in words is "three billion, nine hundred twenty-eight million, eight hundred eleven thousand, forty".