3928542120 has 192 divisors, whose sum is σ = 13287456000. Its totient is φ = 1043912448.

The previous prime is 3928542103. The next prime is 3928542133. The reversal of 3928542120 is 212458293.

It is a happy number.

3928542120 is a `hidden beast` number, since 3 + 92 + 8 + 542 + 1 + 20 = 666.

It is a super-2 number, since 2×3928542120² = 30866886377228188800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3780561 + ... + 3781599.

It is an arithmetic number, because the mean of its divisors is an integer number (69205500).

Almost surely, 2^3928542120 is an apocalyptic number.

3928542120 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 3928542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643728000).

3928542120 is an abundant number, since it is smaller than the sum of its proper divisors (9358913880).

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

3928542120 is a wasteful number, since it uses less digits than its factorization.

3928542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3928542120 is about 62678.0832508461. The cubic root of 3928542120 is about 1577.8915046341.

The spelling of 3928542120 in words is "three billion, nine hundred twenty-eight million, five hundred forty-two thousand, one hundred twenty".