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38276973000 = 23325371913181
BaseRepresentation
bin100011101001011111…
…000100000111001000
310122210120212200210200
4203221133010013020
51111342401114000
625330104212200
72523352621320
oct435137040710
9118716780720
1038276973000
1115262398392
127502a6a060
1337c0102b66
141bd1810280
15ee05d5500
hex8e97c41c8

38276973000 has 384 divisors, whose sum is σ = 148679331840. Its totient is φ = 8700480000.

The previous prime is 38276972963. The next prime is 38276973001. The reversal of 38276973000 is 37967283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38276973001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12031410 + ... + 12034590.

It is an arithmetic number, because the mean of its divisors is an integer number (387185760).

Almost surely, 238276973000 is an apocalyptic number.

38276973000 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 38276973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74339665920).

38276973000 is an abundant number, since it is smaller than the sum of its proper divisors (110402358840).

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

38276973000 is a wasteful number, since it uses less digits than its factorization.

38276973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 38276973000 in words is "thirty-eight billion, two hundred seventy-six million, nine hundred seventy-three thousand".