3745145376 has 384 divisors, whose sum is σ = 13092710400. Its totient is φ = 1018967040.

The previous prime is 3745145363. The next prime is 3745145387. The reversal of 3745145376 is 6735415473.

It is a super-2 number, since 2×3745145376² = 28052227774748362752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22976271 + ... + 22976433.

It is an arithmetic number, because the mean of its divisors is an integer number (34095600).

Almost surely, 2^3745145376 is an apocalyptic number.

3745145376 is a gapful number since it is divisible by the number (36) 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 3745145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546355200).

3745145376 is an abundant number, since it is smaller than the sum of its proper divisors (9347565024).

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

3745145376 is a wasteful number, since it uses less digits than its factorization.

3745145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 3745145376 is about 61197.5928938386. The cubic root of 3745145376 is about 1552.9455436678.

The spelling of 3745145376 in words is "three billion, seven hundred forty-five million, one hundred forty-five thousand, three hundred seventy-six".