3778252800 has 468 divisors, whose sum is σ = 14589284976. Its totient is φ = 860160000.

The previous prime is 3778252799. The next prime is 3778252801. The reversal of 3778252800 is 82528773.

It is an interprime number because it is at equal distance from previous prime (3778252799) and next prime (3778252801).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3778252801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15052675 + ... + 15052925.

Almost surely, 2^3778252800 is an apocalyptic number.

3778252800 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 3778252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294642488).

3778252800 is an abundant number, since it is smaller than the sum of its proper divisors (10811032176).

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

3778252800 is a wasteful number, since it uses less digits than its factorization.

3778252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 3778252800 is about 61467.4938483748. The cubic root of 3778252800 is about 1557.5081849505.

The spelling of 3778252800 in words is "three billion, seven hundred seventy-eight million, two hundred fifty-two thousand, eight hundred".