4038377472 has 300 divisors, whose sum is σ = 12845974680. Its totient is φ = 1259864064.

The previous prime is 4038377461. The next prime is 4038377509. The reversal of 4038377472 is 2747738304.

It is a super-2 number, since 2×4038377472² = 32616985212714221568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22560679 + ... + 22560857.

Almost surely, 2^4038377472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422987340).

4038377472 is an abundant number, since it is smaller than the sum of its proper divisors (8807597208).

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

4038377472 is an equidigital number, since it uses as much as digits as its factorization.

4038377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 4038377472 is about 63548.2294953998. The cubic root of 4038377472 is about 1592.4616053248.

It can be divided in two parts, 40383 and 77472, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 4038377472 in words is "four billion, thirty-eight million, three hundred seventy-seven thousand, four hundred seventy-two".